Finite Group Databasebeta

← Group #11884797

Character table — Group #11884797

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444466666688888888888888121212121212121212121212121212161616161616242424242424242424242436364848727272
order12223344666666366688121212122424242422666644121212121212242424242424244444488121224242424121212121212446812121212122424441212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-111111-111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11
χ41111111111111111111111111111111111-1-1-1-1-1-111111111-11-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1
χ51111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-111-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111-1-11
χ9111111111111111111-1-11111-1-1-1-11111111-111-1-111-1-1-1-1-1-11111-1-11-1-111-1-1-1-11-111-1-11-11-1111-1-1-1-1111-11-1-1
χ10111111111111111111-1-11111-1-1-1-11111111-111-1-111-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-11-111-1-1-11-11-111-1-111-1-1-11-111
χ11111111111111111111-1-11111-1-1-1-1111111-11-1-11111-1-1-1-1-1-111-1-1111-1-111-1-1-1-1-11-1-111-111-11-1-111-1-111-11-11-1
χ12111111111111111111-1-11111-1-1-1-1111111-11-1-11111-1-1-1-1-1-1-11-1-111-1-1-111-1-1-1-1-11-1-1111-1-11-1-1-11111-1-11-11-11
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11-1-1-111111-1-111111-111-1-11-11-11-1-111-1-1-1-11-1-111
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-111-111-1-111111-111-1-1-11-11-1-1-1111111-111-1-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11-111-1-1111-1-11111-11-1-111-111-1111-1-1-1-1-1-1-111-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-11111-11-1-1111-1-11-111-1-111111-1-11-1
χ17222222-2-2222222222200-2-2-2-20000222222000000-2-20000002-20000-200-2-200000000000020-20000002-200000
χ18222222-2-2222222222200-2-2-2-20000222222000000-2-2000000-2-20000200-2-2000000000000-202000000-2200000
χ19222222-2-2222222222200-2-2-2-20000-2-2-2-2-2-2000000-2-2000000220000-2002200000000000020-2000000-2200000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-2-2-2000000-2-2000000-22000020022000000000000-2020000002-200000
χ2122222-12222-1-1-12-1-1-1-122-12-122222000000222222-1-1-1-1-1-1-1-1200000200000000-1-1-1-1-1-122-12-10000-1-100-1-1000
χ2222222-12222-1-1-12-1-1-1-122-12-122222000000222222-1-1-1-1-1-1-1-1-200000-200000000-1-1-1-1-1-1-2-21-210000110011000
χ2322222-12222-1-1-12-1-1-1-122-12-122222000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1200000200000000111111-2-2-12-10000-1-10011000
χ2422222-12222-1-1-12-1-1-1-122-12-122222000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1-200000-200000000111111221-2100001100-1-1000
χ2522222-12222-1-1-12-1-1-1-1-2-2-12-12-2-2-2-20000002-222-2-2-1-1111111200000200000000-11-1-1112-2-1-2-100001100-11000
χ2622222-12222-1-1-12-1-1-1-1-2-2-12-12-2-2-2-20000002-222-2-2-1-1111111-200000-200000000-11-1-111-221210000-1-1001-1000
χ2722222-12222-1-1-12-1-1-1-1-2-2-12-12-2-2-2-2000000-22-2-222-1-11111112000002000000001-111-1-1-22-1-2-1000011001-1000
χ2822222-12222-1-1-12-1-1-1-1-2-2-12-12-2-2-2-2000000-22-2-222-1-1111111-200000-2000000001-111-1-12-21210000-1-100-11000
χ292222-1222-1-1222-1-1-1-1-1222-12-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1022222022-1-1-1-1-1-122-1-1-1-100000-1-1-1-1000000000
χ302222-1222-1-1222-1-1-1-1-1222-12-1-1-1-1-122-1-1-1-1-2-21111-1-122-1-1-1-102-2-2-2-2022-1-1-1-1-1-1-2-21111000001111000000000
χ312222-1222-1-1222-1-1-1-1-1222-12-1-1-1-1-1-2-2111122-1-1-1-1-1-122-1-1-1-10-2-2-2-2-20-2-211111122-1-1-1-1000001111000000000
χ322222-1222-1-1222-1-1-1-1-1222-12-1-1-1-1-1-2-21111-2-21111-1-122-1-1-1-10-222220-2-2111111-2-2111100000-1-1-1-1000000000
χ332222-1222-1-1222-1-1-1-1-1-2-22-12-1111122-1-1-1-12-2-1-111-1-1-2-211110222-2-20-2-2-1-111112-2-1-11100000-1-111000000000
χ342222-1222-1-1222-1-1-1-1-1-2-22-12-1111122-1-1-1-1-2211-1-1-1-1-2-2111102-2-2220-2-2-1-11111-2211-1-10000011-1-1000000000
χ352222-1222-1-1222-1-1-1-1-1-2-22-12-11111-2-211112-2-1-111-1-1-2-211110-2-2-22202211-1-1-1-12-2-1-1110000011-1-1000000000
χ362222-1222-1-1222-1-1-1-1-1-2-22-12-11111-2-21111-2211-1-1-1-1-2-211110-222-2-202211-1-1-1-1-2211-1-100000-1-111000000000
χ372-2-22222-2-2-2-2-2222-2-222-2-2-22222-2-2000000000000-222-222-2-2002-22-2000000000000000000002-22-2000000000
χ382-2-22222-2-2-2-2-2222-2-222-2-2-22222-2-2000000000000-222-222-2-200-22-2200000000000000000000-22-22000000000
χ392-2-22222-2-2-2-2-2222-2-22-22-2-222-2-222000000000000-22-22-2-222002-2-22000000000000000000002-2-22000000000
χ402-2-22222-2-2-2-2-2222-2-22-22-2-222-2-222000000000000-22-22-2-22200-222-200000000000000000000-222-2000000000
χ412-2-22-122-211-2-22-1-111-12-2-212-1-1-11100−i3−i3i3i300−i3i3−i3i31-12-2-1-111002-22-2000−i3i3−i3−i3i3i300−i3i3−i3i300000-11-11000000000
χ422-2-22-122-211-2-22-1-111-12-2-212-1-1-11100−i3−i3i3i300i3−i3i3−i31-12-2-1-11100-22-22000−i3i3−i3−i3i3i300i3−i3i3−i3000001-11-1000000000
χ432-2-22-122-211-2-22-1-111-12-2-212-1-1-11100i3i3−i3−i300−i3i3−i3i31-12-2-1-11100-22-22000i3−i3i3i3−i3−i300−i3i3−i3i3000001-11-1000000000
χ442-2-22-122-211-2-22-1-111-12-2-212-1-1-11100i3i3−i3−i300i3−i3i3−i31-12-2-1-111002-22-2000i3−i3i3i3−i3−i300i3−i3i3−i300000-11-11000000000
χ452-2-22-122-211-2-22-1-111-1-22-212-111-1-100−i3−i3i3i300−i3i3i3−i31-1-2211-1-1002-2-22000−i3i3i3i3−i3−i300−i3i3i3−i300000-111-1000000000
χ462-2-22-122-211-2-22-1-111-1-22-212-111-1-100−i3−i3i3i300i3−i3−i3i31-1-2211-1-100-222-2000−i3i3i3i3−i3−i300i3−i3−i3i3000001-1-11000000000
χ472-2-22-122-211-2-22-1-111-1-22-212-111-1-100i3i3−i3−i300−i3i3i3−i31-1-2211-1-100-222-2000i3−i3−i3−i3i3i300−i3i3i3−i3000001-1-11000000000
χ482-2-22-122-211-2-22-1-111-1-22-212-111-1-100i3i3−i3−i300i3−i3−i3i31-1-2211-1-1002-2-22000i3−i3−i3−i3i3i300i3−i3−i3i300000-111-1000000000
χ4944444-2-4-444-2-2-24-2-2-2-2002-42-4000000000000000022000000400000-40000000000000000-2020000000000000
χ5044444-2-4-444-2-2-24-2-2-2-2002-42-4000000000000000022000000-4000004000000000000000020-20000000000000
χ514444-24-4-4-2-2444-2-2-2-2-200-42-42000044-2-2-2-2000000220000000-40000000220000000000000000000000000000
χ524444-24-4-4-2-2444-2-2-2-2-200-42-420000-4-4222200000022000000040000000-2-20000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000044-2-2-2-211-2-21111000000000000000-2-21111000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000-4-4222211-2-2111100000000000000022-1-1-1-1000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-4-2-2221122-1-1-1-1000000000000000-2211-1-1000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-4422-2-21122-1-1-1-10000000000000002-2-1-111000000000000000000
χ5744-4-444004-44-4-4-444-4-4000000000000000000000000000000000000022−220022−2222−22000000000000000000000000
χ5844-4-444004-44-4-4-444-4-40000000000000000000000000000000000000−222200−2222−2222000000000000000000000000
χ5944-4-4-2400-224-4-42-2-222000000i6−i6i6−i600−2i32i3−2i32i30000000000i6−i6i6−i6000000022−2200−22−22000000000000000000000000
χ6044-4-4-2400-224-4-42-2-222000000i6−i6i6−i6002i3−2i32i3−2i30000000000i6−i6i6−i60000000−2222002−22−2000000000000000000000000
χ6144-4-4-2400-224-4-42-2-222000000−i6i6−i6i600−2i32i3−2i32i30000000000−i6i6−i6i60000000−2222002−22−2000000000000000000000000
χ6244-4-4-2400-224-4-42-2-222000000−i6i6−i6i6002i3−2i32i3−2i30000000000−i6i6−i6i6000000022−2200−22−22000000000000000000000000
χ634-44-44400-44-44-4-44-44-400000000004-44-4-4400000000000000000000000000000000000000000000000000000
χ644-44-44400-44-44-4-44-44-40000000000-44-444-400000000000000000000000000000000000000000000000000000
χ654-44-4-24002-2-44-42-22-22000000i6−i6−i6i64-4-222-20000000000i6−i6−i6i600000000000−i6i6i6−i6000000000000000000000000
χ664-44-4-24002-2-44-42-22-22000000i6−i6−i6i6-442-2-220000000000i6−i6−i6i600000000000i6−i6−i6i6000000000000000000000000
χ674-44-4-24002-2-44-42-22-22000000−i6i6i6−i64-4-222-20000000000−i6i6i6−i600000000000i6−i6−i6i6000000000000000000000000
χ684-44-4-24002-2-44-42-22-22000000−i6i6i6−i6-442-2-220000000000−i6i6i6−i600000000000−i6i6i6−i6000000000000000000000000
χ694-4-4444-44-4-4-4-4444-4-440044-4-400000000000000004-4000000000000000000000000000000000000000000000
χ704-4-444-24-4-4-422-24-222-24-42-4-2444-4-40000000000002-2-22-2-222000000000000000000000000000000000000000
χ714-4-444-24-4-4-422-24-222-2-442-4-24-4-4440000000000002-22-222-2-2000000000000000000000000000000000000000
χ724-4-444-2-44-4-422-24-222-200-242-40000000000000000-2200000000000000000000000000000000000023−230000000
χ734-4-444-2-44-4-422-24-222-200-242-40000000000000000-22000000000000000000000000000000000000−23230000000
χ744-4-44-24-4422-4-44-2-222-2004-2-42000000−2i3−2i32i32i3000000-220000000000000002i3−2i30000000000000000000000000000
χ754-4-44-24-4422-4-44-2-222-2004-2-420000002i32i3−2i3−2i3000000-22000000000000000−2i32i30000000000000000000000000000
χ764-4-44-2-24-42222-2-21-1-114-422-2-2-2-22200000000−2i32i3−2i32i3-11-2211-1-100000000000000000i3−i3i3−i3000000000000000000
χ774-4-44-2-24-42222-2-21-1-114-422-2-2-2-222000000002i3−2i32i3−2i3-11-2211-1-100000000000000000−i3i3−i3i3000000000000000000
χ784-4-44-2-24-42222-2-21-1-11-4422-2-222-2-200000000−2i32i32i3−2i3-112-2-1-11100000000000000000i3−i3−i3i3000000000000000000
χ794-4-44-2-24-42222-2-21-1-11-4422-2-222-2-2000000002i3−2i3−2i32i3-112-2-1-11100000000000000000−i3i3i3−i3000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000
χ8188-8-88-4008-8-444-8-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44-444422-2-20000002i6−2i62i6−2i60000000000000000−i6i6−i6i6000000000000000000000000000000000000000
χ8388-8-8-4-400-44-444422-2-2000000−2i62i6−2i62i60000000000000000i6−i6i6−i6000000000000000000000000000000000000000
χ848-88-88-400-884-44-8-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004-44-4442-22-20000002i6−2i6−2i62i60000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ868-88-8-4-4004-44-4442-22-2000000−2i62i62i6−2i60000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ878-8-88-4-4-884444-4-42-2-2200-4-44400000000000000002-2000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).